Union of Sets
The union of two sets A and B is the set of elements that are in A or B, or both. The Venn diagram below shows A ⋃ B.
Example
If, U = {2, 4, 6, 8, 10, 12, 14, 16}
A = {4, 6, 8, 10, 12}
B = {2, 10, 12, 14}
Then, A union B, A ⋃ B = {2, 4, 6, 8, 10, 12, 14}
Note:
(A ⋃ B)’ = {16}
And,
(A ⋃ B)’ = A’ ∩ B’
A’ ⋃ B’ = {2, 4, 6, 8, 14, 16}
And,
A’ ⋃ B’ = (A ∩ B)’